Question

A cone of height 20 cm and radius of base 5 cm is made up of modelling clay hiv shapes in it in the form of a sphere find the diameter of the sphere

Answer 1

Volume of cone = volume of sphere

vol of cone = 1/3 r² h

 1/3 * 22/7 * 5*5*20

= 11000/21

Volume of sphere = 4/3  r³

4/3 * 22/7 * r³

88/21*r³ = 11000/21

simplifying, we get r = 5.

They have asked us to find the diameter. Diameter = 2r. Diameter = 10.

Hope this helped. :D

Answer 2

This much only I hope so